Question: Case Introduction : Each microchip produced by PACSEM goes through a specific process flow appropriate for the type of device. At the final stage of

Case Introduction:

Each microchip produced by PACSEM goes through a specific process flow appropriate for the type of device. At the final stage of production process, microchips go through a marking and curing process known as electrophoresis (MCE) which may create variations that may affect the surface quality of the microchips produced due to increase and decrease in UV exposure. To insure quality, the marking and curing process undergoes rigid statistical process control. The following table contains the curing time (in minutes) during one of its production run. The objective is to achieve statistical control of the cure times using X- and R-charts. Based on the table below:

Sample

number

1

2

3

4

5

6

1

.481

.494

.493

.511

.486

.499

2

.529

.509

.516

.494

.499

.506

3

.521

.504

.515

.488

.496

.500

4

.489

.492

.483

.487

.495

.506

5

.481

.490

.526

.469

.472

.502

6

.506

.495

.507

.493

.473

.495

7

.504

.494

.490

.471

.495

.512

8

.485

.497

.498

.474

.525

.501

9

.516

.507

.517

.506

.497

.501

10

.497

.505

.516

.511

.495

.505

11

.492

.486

.468

.492

.495

.482

12

.522

.499

.526

.506

.483

.459

13

.510

.512

.493

.525

.521

.512

14

.500

.503

.507

.501

.487

.521

15

.513

.506

.499

.511

.493

.516

16

.523

.492

.479

.480

.473

.506

17

.496

.491

.513

.484

.477

.485

18

.475

.492

.493

.485

.515

.493

19

.491

.504

.486

.497

.511

.536

20

.512

.497

.470

.504

.509

.490

Part II

The following data were obtained in the succeeding production run. Using the X- and R-charts

you developed above, plot these data on the chart and give your comments.

  1. Is the process in or out of control? If it is out of control, why, please identify which sample or samples are out of control.
Sample Number 1 2 3 4 5 6
21 0.481 0.486 0.494 0.499 0.511 0.493
22 0.529 0.499 0.5088 0.506 0.494 0.516
23 0.544 0.529 0.5302 0.53 0.533 0.515
24 0.489 0.495 0.492 0.506 0.487 0.483
25 0.422 0.472 0.4646 0.434 0.469 0.526
26 0.506 0.473 0.4948 0.495 0.493 0.507
27 0.504 0.495 0.4944 0.512 0.471 0.49
28 0.485 0.525 0.4966 0.501 0.474 0.498
29 0.516 0.547 0.5282 0.555 0.506 0.517
30 0.497 0.495 0.5048 0.505 0.511 0.516

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